Consider a simple Keynesian model with taxation. Suppose the marginal tax rate is t = 0.4 and the marginal propensity to consume is c = 0.66. Then an exogenous increase in investment demand of 100 units will: Group of answer choicesIncrease equilibrium output by approximately 150 unitsIncrease equilibrium output by approximately 167 unitsIncrease equilibrium output by approximately 267 unitsIncrease equilibrium output by approximately 750 units
Question
Consider a simple Keynesian model with taxation. Suppose the marginal tax rate is t = 0.4 and the marginal propensity to consume is c = 0.66. Then an exogenous increase in investment demand of 100 units will: Group of answer choicesIncrease equilibrium output by approximately 150 unitsIncrease equilibrium output by approximately 167 unitsIncrease equilibrium output by approximately 267 unitsIncrease equilibrium output by approximately 750 units
Solution
In this Keynesian model, the multiplier is calculated as 1/(1 - c * (1 - t)). Here, c is the marginal propensity to consume and t is the marginal tax rate.
Step 1: Substitute the given values into the formula.
Multiplier = 1/(1 - 0.66 * (1 - 0.4))
Step 2: Simplify the expression in the parentheses.
Multiplier = 1/(1 - 0.66 * 0.6)
Step 3: Multiply the numbers.
Multiplier = 1/(1 - 0.396)
Step 4: Subtract 0.396 from 1.
Multiplier = 1/0.604
Step 5: Divide 1 by 0.604.
Multiplier = 1.656
The multiplier is approximately 1.656. This means that an exogenous increase in investment demand of 100 units will increase equilibrium output by 100 * 1.656 = 165.6 units.
So, the closest answer is: Increase equilibrium output by approximately 167 units.
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